a local library is offering a promotion where the cost for per book rental decreases as more books are rented. the total cost c for renting b books is given by the rational function: C(b)=50/b+2' where 50 fixed total cost when no books when no books are rented and b is the number of books rented if a customer wants to rent 8 books, what is the cost per book for renting those 8 books are rented,

To find the cost per book for renting 8 books using the given function, we start by evaluating the total cost $ C(b) $ when $ b = 8 $:

The total cost function is:
\[
C(b) = \frac{50}{b} + 2
\]

Substituting $ b = 8 $ into the function:
\[
C(8) = \frac{50}{8} + 2
\]

Calculate the first term:
\[
\frac{50}{8} = 6.25
\]

Now add 2 to this:
\[
C(8) = 6.25 + 2 = 8.25
\]

So, the total cost for renting 8 books is \$8.25.

To find the cost per book, divide the total cost by the number of books rented:
\[
\text{Cost per book} = \frac{C(8)}{8} = \frac{8.25}{8} = 1.03125
\]

The cost per book is approximately **\$1.03** when 8 books are rented.

Would you like more details or have any questions?

Here are five related questions for further practice:

1. What is the total cost for renting 5 books?
2. How does the cost per book change as the number of books rented increases?
3. What is the cost per book if 10 books are rented?
4. If a customer rents 12 books, what would be the total cost?
5. What happens to the cost per book as the number of books rented approaches infinity?

**Tip:** Rational functions often model situations where a cost or rate decreases as quantity increases. Consider graphing such functions to understand the relationship visually.

A local library is offering a promotion where the cost per book rental decreases as more books are rented. The total cost C for renting b books is given by the rational function: C(b)=50/b+2. If a customer wants to rent 8 books, what is the cost per book for renting those 8 books?

Learn how to calculate the cost per book when renting 8 books using the rational function C(b) = 50/b + 2. This problem involves key algebraic concepts and is suitable for students in Grades 9-12.

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